if 5 miles is 8km . Convert 33.7 km into miles
Answer:
20.94021
Step-by-step explanation:
mark me brainlist
Answer:
53.92
Step-by-step explanation:
5 miles = 8 km
1 miles = 1.6 km
33.7 x 1.6 = 53.92
Johan published a monthly poetry magazine. In March he printed 1400 copies of magazine. In April he increased his print run by 15%
Answer:
1610
Step-by-step explanation:
Answer:
1610
Step-by-step explanation:
you can easily get the solution without a calculator:
1400
+ 140 (+10%)
+ 70 (+5%)
= 1400 + 210
Cans of soda at a local store a six-pack of soda costs $2.59 and indivdual cans cost $0.80. What is the maximum of cans of soda that can be purchased for $15
Answer: 30 cans (buy them by the six-pack; so you'd buy 5 six-packs)
==============================================================
Explanation:
Let's say you buy six-packs only. Divide the amount of money you have over the cost per six-pack.
15/(2.59) = 5.7915 which rounds down to 5.
If you buy six-packs only, then you can buy a max of 5 of them. That gets you 5*6 = 30 cans of soda.
-------------
Now let's say you buy individual cans only. We'll use the same idea mentioned earlier but this time divide over 0.80
15/(0.80) = 18.75 which rounds down to 18
We round down because we can't buy that 19th can of soda (note how 19*0.80 = 15.2 which is larger than 15).
So if you buy individual cans only, then you can get a max of 18 cans.
We see that it's better to go with the six-pack option (in the first section) since we can get 30 cans compared to 18 cans.
what is the length of segment LM?
Here we are provided with a diagram of a triangle. We need to find out the length of the segment LM . As we can see that ,
∆ KNL ≈ MNL , [ By AAS ]
Therefore ,
KN = MN ( by cpct )⇒ KN = MN
⇒ 14x - 3 = 25
⇒ 14x = 25 + 3
⇒ 14x = 28
⇒ x = 2
Put this x = 2 in LM :-
⇒ LM = 9x + 5
⇒ LM = 9*2 + 5
⇒ LM = 18 + 5
⇒ LM = 23
Hence the required answer is 23 .
Please helped timed question. Solve for a, b, and A. Round to the nearest tenth.
Answer:
[tex]\angle A=90-72[/tex]
[tex]\angle A=18[/tex]
---------------
[tex]sin~72=\frac{b}{11}[/tex]
[tex]11\times sin~72=6[/tex]
[tex]b=10.5[/tex]
----------------
[tex]11\times cos~72=a[/tex]
[tex]a=3.4[/tex]
----------------
ANSWER:
a=3.4
b=10.5
∠A=18
-----------------------
hope it helps...
have a great day!!
please help so I can watch Coop and Cami ask the world
Step-by-step explanation:
Simple interest=principal x rate x time÷100
amount borrowed=$500
I=$500x7x6÷100
I=$210
therefore you will pay
amount borrowed+interest
$500+$210
$710
hope this is helpful
One of Eric's steps is 18in long. How many steps would he take to walk 1 mile?
Answer:
3520 steps
Step-by-step explanation:
The first thing we must do is figure out how many inches are in a mile. (There are 63,360 inches in one mile). With that out of the way, we can now divide these inches by 18, since each of Eric's steps are 18 inches long, and we want to determine how many steps he would have to take. 63,360 divided by 18 is 3520. This means our answer is 3520 steps, and that is how many steps he must take to walk 1 mile. I hope you understood and please let me know if you still need help!
Answer: 3520 steps
Step-by-step explanation:
1 mile = 63360 inches1 step = 18 inUse proportions and set x = number of steps in a mile:
[tex]\frac{1}{18 in}=\frac{X}{63360 in}[/tex]
18x = 63360
x = 63360 ÷ 18 = 3520 steps.
Let u = <-7, -2>. Find 4u.
Answer:
<-28, -8>
Step-by-step explanation:
you multiply the values by 4 because that's what the question tells you to do.
if <-7,-2>=u and it's asking for 4u, then the answer is the solution to the equation 4(<-7,-2>)
Evaluate the expression -4 ( n - 6) + m when n = -5 and m = 2? Show your steps
Answer: -42
Step-by-step explanation:
-4(n-6)+m
and then they give you the values of each
basically what you do is put the value of m into where it shows on the equation as well as the n.
-4(-5-6)+2 and then you should get
-42
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the systems of equations to their solutions.
Answer:
Step-by-step explanation:
1). 2x + y = 12 -----(1)
x = 9 - 2y -------(2)
By substituting the value of x from equation (2) to equation (1)
2(9 - 2y) + y = 12
18 - 4y + y = 12
18 - 3y = 12
3y = 18 - 12
y = 2
By substituting the value of x in equation (2)
x = 9 - 2(2)
x = 9 - 4
x = 5
2). x + 2y = 9 ------(1)
2x + 4y = 20
x + 2y = 10 -------(2)
Since, both the equations are the parallel equations,
Therefore, No solutions will be the answer.
3). x + 3y = 16 -------(1)
2x - y = 11 ---------(2)
Multiply equation (2) by 3 the add to equation (1)
6x - 3y + (x + 3y) = 16 + 33
7x = 49
x = 7
From equation (1),
7 + 3y = 16
3y = 9
y = 3
4). y = 11 - 2x -------(1)
4x - 3y = -13 -------(2)
By substituting the value of y from equation (1) to (2),
4x - 3(11 - 2x) = -13
4x - 33 + 6x = -13
10x = 33 - 13
10x = 20
x = 2
From equation (1)
y = 11 - 2(2)
y = 7
5). y = 10 + x -------(1)
-3x + 3y = 30
-x + y = 10
y = 10 + x ------(2)
Equations (1) and (2) are same.
Therefore, Infinite solutions will be the answer.
6). 2x + y = 11 --------(1)
x - 2y = -7 ---------(2)
Multiply equation (1) by 2 then add to equation (2)
4x + 2y + (x - 2y) = 22 - 7
5x = 15
x = 3
From equation (2)
3 - 2y = -7
2y = 3 + 7
y = 5
Find the measure of the indicated angle
Answer:
67°
Step-by-step explanation:
Can someone help me with this math homework please!
9514 1404 393
Answer:
(a) Micah's solution is wrong.
Step-by-step explanation:
After adding 5/2x to both sides, Micah should have obtained ...
5/6 = 8
This would indicate there are no values of x that make the statement true.
Help me out please, thanks
Hello!
f(x) = x² + 12x <=>
<=> a = 1, b = 12 <=>
<=> x = -12/2×1 <=>
<=> x = -6 <=>
<=> f(-6) = -36 <=>
<=> (-6; -36)
Good luck! :)
represent the following additions on a number line 3+5
Xavier leans a 28-foot ladder against a wall so that it forms an angle of 69 degrees with the ground. How high up the wall does the ladder reach? Round your answer to the nearest hundredth of a foot if necessary.
Answer:
[tex]\approx 26.14[/tex]
Step-by-step explanation:
In this problem, one is given a right triangle, with the length of the hypotenuse given and one of the angles in the triangle. One is asked to find the length of one of the legs. In this situation, one can use right-angle trigonometry. Right angle trigonometry has the following ratios,
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Please note that the sides named (opposite) and (adjacent) are subjective depending on the angle of reference. The side named (hypotenuse) is the side opposite the right angle, its name does not change. In this case, one is given an angle measure and the measurement of the hypotenuse. One is asked to find the length of the side opoosite this angle. One should use the ratio of sine (sin) to achieve this.
[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]
Substitute,
[tex]sin(69)=\frac{opposite}{28}[/tex]
Inverse operations,
[tex]28(sin(69))=opposite[/tex]
[tex]26.14\approx opposite[/tex]
Answer:
26.14
Step-by-step explanation:
A : B = 5 : 7 and B : C = 3 : 5 what is the ratio of A : B : C ?
Answer:
15:21:35 (I'm not sure, but this is my best guess)
Step-by-step explanation:
15:21 = A:B (plugging in 3 as a test)
21:35 = B:C
15:21:35 = A:B:C (can't simplify)
Consider this graph of a quadratic function.
Type the correct answer in each box.
The shape of the graph is called a
The domain of the function is the set of all real numbers, and the range of the function is the set of all real numbers
greater than or equal to
When x = -1, f(x) =
Answer:he's right
Step-by-step explanation:
Solve for F (15 Points)
Answer:
f = - [tex]\frac{15}{4}[/tex]
Step-by-step explanation:
Given
f + [tex]\frac{1}{4}[/tex] = - [tex]\frac{7}{2}[/tex]
Multiply through by 4 ( the LCM of 2 and 4 ) to clear the fractions
4f + 1 = - 14 ( subtract 1 from both sides )
4f = - 15 ( divide both sides by 4 )
f = - [tex]\frac{15}{4}[/tex]
[tex]y = x {}^{2} - 9x + 14[/tex]
Given that y can be written in the form
[tex](x + a) {}^{2} + b[/tex]
, where a and b are constants, find the value of a and the value of b.
pls help i rly need this Pls pls pls pls
Answer:
a = - [tex]\frac{9}{2}[/tex] , b = - [tex]\frac{25}{4}[/tex]
Step-by-step explanation:
To obtain the required form use the method of completing the square
add/ subtract ( half the coefficient of the x- term)² to x² - 9x
y = x² + 2(- [tex]\frac{9}{2}[/tex] )x + [tex]\frac{81}{4}[/tex] - [tex]\frac{81}{4}[/tex] + 14
= (x - [tex]\frac{9}{2}[/tex] )² - [tex]\frac{81}{4}[/tex] + [tex]\frac{56}{4}[/tex]
= (x - [tex]\frac{9}{2}[/tex] )²- [tex]\frac{25}{4}[/tex] ← in the form (x + a)² + b
with a = - [tex]\frac{9}{2}[/tex] and b = - [tex]\frac{25}{4}[/tex]
Answer:
a = 4.5
b = -6.25
Step-by-step explanation:
The given equation to us is ,
[tex]\implies y = x {}^{2} - 9x + 14[/tex]
And its given that it can we written in the form of ,
[tex]\implies (x + a) {}^{2} + b[/tex]
Where ,
a and b are constants .Therefore ,
[tex]\implies y = x^2 -9x + 14 [/tex]
Multiplying 9x by 2/2 ,we have ,
[tex]\implies y = x^2 -\dfrac{2}{2}\times 9 x + 14 [/tex]
Adding and subtracting (9/2)² ,
[tex]\implies y = \bigg\{ x^2 -\dfrac{2}{2}\times 9 x + \bigg(\dfrac{9}{2}\bigg)^2 \bigg\} +14 -\bigg(\dfrac{9}{2}\bigg)^2[/tex]
Therefore , we can write it as ,
[tex]\implies y = \bigg( x + \dfrac{9}{2}\bigg)^2 + 14 - 20.25 \\\\\implies \underline{\underline{ y = \bigg( x + \dfrac{9}{2}\bigg)^2 - 6.25 }}[/tex]
Hence the value of a is 9/2 and b is -6.25 .
Given that g(x)=x2, find each of the following.
a) g(3)
b) g(-1)
c) g( - x)
d) g(2y)
e) g(1 + h)
a) g(3) = (Simplify your answer.)
Step-by-step explanation:
a)
g(3) = 9
b)
g(-1) = 1
c)
g(-x) = x²
d)
g(2y) = 4y²
e)
g(1 + h) = 1 + h² + 2h
using the identity (a +b)² = a² + b² + 2ab
Answer:
a) g(3) = 9
b) g(-1) = 1
c) g(-x) = x²
d) g(2y) = 4y²
e) g(1+h) = 1 + 2h + h²
Step-by-step explanation:
a) when x = 3 ,
g(3) = 3² = 9
b) when x = -1 ,
g(-1) = (-1)² = 1
c) when x = -x ,
g( -x ) = (-x)² = x²
d) when x= 2y ,
g( 2y ) = (2y)² = 4y²
e) when x = 1 + h ,
g( 1 + h ) = ( 1 + h )² = 1 + 2h + h²
Determine the value of x.
4.375 units
4.59 units
13.95 units
15 units
Answer:
13.95 units
Step-by-step explanation:
[tex] \sin \: 35 \degree = \frac{8}{x} \\ \\ \therefore \: x \: = \frac{8}{\sin \: 35 \degree} \\ \\ \therefore \: x \: = 13.9475744 \\ \\ \therefore \: x \: = 13.95 \: units[/tex]
can someone please help me with this question? I have been stuck on it for a while now
Answer:
w = 12 cm and l = 20 cm
Step-by-step explanation:
Please help me my little sister and i don’t understand!!
Hi!
These two angles are alternate interior angles, so they are congruent. Thus:
∠A = ∠B
6x + 5 = 4x + 45
Solve for x:
2x + 5 = 45
2x = 40
x = 20
Solve for ∠A by substituting in this value:
∠A = 6(20) + 5 = 125°
Find each measure
Please help me
Answer:
19) 100
20) 360 - 90 = 270
21) 360- 125 = 235
22) 45
Step-by-step explanation:
Central angles and the arcs they create are congruent.
A solid wooden block in the shape of a rectangular prism has a length, width and height
Step-by-step explanation:
Volume of the block
[tex] = lbh[/tex]
[tex] = \frac{3}{8} \times \frac{1}{8} \times \frac{5}{8} [/tex]
[tex] = \frac{3 \times 5}{ {8}^{3} } [/tex]
[tex] = \frac{15}{512} [/tex]
write twelve thousand twelve hundred and twelve in numbers
Answer:
12, 120,012
Step-by-step explanation:
Find the probability of rolling a three first and then a six when a pair of dice is rolled twice.
a. 1/18
b. 5/648
c. 1/54
d. 5/324
Plz help me
Answer:
5 / 648
Step-by-step explanation:
Given tbe sample space for a pair of dice attached below :
Sample space for a pair of dice = 6² = 36
Rolling a 3 first :
Recall, probability = required outcome / Total possible outcomes
P(rolling a 3). = 2 / 36 = 1 /18
Probability of rolling a 6 (second roll)
P(rolling a 6) = 5 / 36
Hence,
P(3) then P(6) ;
1 / 18 * 5/36 = 5 / 648
In a geometric progression, the first tern is 81 and the fourth term is 24. find the common ratio
Step-by-step explanation:
81/24= 27/8Hello,
Let's say a the first term and r the ratio of the G.P.
[tex]u_1=a=81\\u_2=a*r\\u_3=a*r^2\\u_4=a*r^3\\\\\dfrac{u_4}{u_1} =\dfrac{a*r^3}{a} =r^3=\dfrac{24}{81} =\dfrac{8}{27} \\\\r=\sqrt[3]{\dfrac{8}{27} } \\\\\boxed{r=\dfrac{2}{3}}\\[/tex]
Which property was used to simplify the expression?
30+9+4- 40+
distributive property
commutative property
associative property
inverse property
HELP SMB PLEASE!!!
Answer:
Distributive property.
Step-by-step explanation:
.
Answer:
holis polis trolis bsuslsgddnnbz
18. (a)
A football club sells tickets at different prices dependent on age group.
The table shows the football ticket prices for the different age groups.
Price Age:
Under 18 = $15
18 to 60 = $35
Over 60 = $18
At a particular game there were 42 600 tickets sold.
14% were sold to people aged under 18
2/3 of the tickets were sold to people aged 18 to 60
The remainder were sold to people aged over 60
Answer:
5,964 people are under 18 , 400 people are aged 18 to 60 , 8,236 people are over 60
Step-by-step explanation:
42 , 600 x 14/100 = 5,964 people are under 18
42,600 x 2/3 = 28 , 400 people are aged 18 to 60
The remaining over 60 = 42 , 600 - (5,964 + 28400)
42,600 - 34,364 = 8,236 people are over 60